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Polynomial matrix solution of H 2 optimal control problem for state‐space systems
Author(s) -
Grimble M. J.
Publication year - 2002
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.703
Subject(s) - polynomial matrix , optimal control , polynomial , mathematics , matrix (chemical analysis) , matrix polynomial , state (computer science) , state space , domain (mathematical analysis) , function (biology) , class (philosophy) , pure mathematics , mathematical optimization , computer science , mathematical analysis , algorithm , statistics , materials science , evolutionary biology , artificial intelligence , composite material , biology
A polynomial matrix solution to the H 2 output feedback optimal control problems is obtained for systems represented in state‐equation form. The proof does not invoke the separation principle but is obtained in the z ‐domain. The cost function includes weighted states, which allows the so‐called standard system model problem to be solved. This encompasses the class of inferential control problems. The results also enable the two‐degree‐of‐freedom optimal control solution properties to be explored. Copyright © 2002 John Wiley & Sons, Ltd.